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BEGIN:VEVENT
DTSTAMP:20190917T125704Z
DTSTART:20190923T140000Z
DTEND:20190923T150000Z
SUMMARY:Leticia Pardo-Simon (Liverpool) - Splitting hairs with transcende
ntal entire functions
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}skh-k0nth0d
l-hdyaen
DESCRIPTION:Leticia Pardo-Simon (Liverpool) will be speaking at this rese
arch seminar\, part of the Dynamical Systems and Analysis seminar series
. \n\nAbstract: In the study of the behaviour under iteration of a trans
cendental entire map $f$\, its singular set\, that is\, the set of singu
larities of the inverse f^{-1}\, as well as its forward orbit\, called t
he postsingular set\, play a key role. In fact\, all previous results pr
oviding a complete description of topological dynamics had been achieved
for transcendental entire functions with bounded postsingular set. In t
his talk\, I will introduce a new class of functions with unbounded post
singular set and will conclude that their Julia sets can be characterize
d as a collection of dynamic rays or hairs\, that is\, injective curves
that escape to infinity uniformly\, that split at (preimages of) critica
l points\, together with their corresponding landing points.
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:G.114\, Alan Turing Building\, Manchester
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